Abstract
This paper describes a multi-objective optimization method for round-to-slot shaped film-holes (RTSH) using computational fluid dynamic analysis and surrogate model approximation. The physical model is a single-row of film cooling holes on a flat surface. Three design variables relating to the main RTSH geometric parameters are investigated: the film-hole inclination angle (θ), slot width (s), and film-hole height (t). The slot length (l) and hole-to-hole pitch (P) are fixed as 2d and 2.4d, respectively, where d is the film-hole diameter. The optimal model is constructed by selecting the discharge coefficient (Cd) and spatially-averaged adiabatic film cooling effectiveness (ηad,av) as independent objective functions. From the Pareto front of optimal solutions, the optimized round-to-slot holes are obtained under blowing ratios of M=0.5 and 1.5. Numerical assessments corresponding to the maximum ηad,av (Opt-A), maximum Cd (Opt-B), and a compromise between the two objective functions (Opt-C) are performed, and the mechanisms influencing the optimal film-hole shapes in terms of film cooling performance are analyzed in depth.
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